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Dive into the research topics where M. Benhamou is active.

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Featured researches published by M. Benhamou.


European Physical Journal E | 2011

Critical microphase properties of crosslinked polymer blends with quenched random impurities.

M. Benhamou; A. Derouiche; A. Bettachy; F. Elhajjaji

Abstract.We extend published works dealing with microphase separation in crosslinked polymer blends to the case where these are surrounded by random impurities. To study their influence on critical microphase properties, from a static and kinetics point of view, we first assume that the (real) disorder caused by impurities is quenched. Second, the replica theory is used to study such critical properties, upon the impurities concentration and their interaction strength. More precisely, we compute the spinodal temperature and structure factor. We find that the spinodal temperature is shifted towards its lower and higher values, for attractive and repulsive impurities, respectively. The obtained expression for the static structure factor suggests that, contrarily to repulsive impurities, the crosslinked mixture scatters better in the presence of attractive ones. Thereafter, the study is extended to kinetics of microphase separation, when the mixture is impregnated by small random impurities. Kinetics is investigated through the growth rate, and in particular, we demonstrate that the latter is increased by the presence of repulsive impurities. This is natural, since these play a stabilizer role. Finally, the discussion is extended to crosslinked polymer blends immersed in a good solvent, which induces drastic changes of the critical microphase properties.


European Physical Journal E | 2009

Theory of microphase separation in charged crosslinked polymer blends with arbitrary charge distribution

A. Boussaid; M. Benhamou; A. El Fazni

In this paper, we are interested in the phase behavior and scattering properties of charged crosslinked polymer blends in solution. The system undergoes a microphase separation, below some critical temperature. To study such a transition, use is made of the standard de Gennes theory based on an analogy with a dielectric medium. This analogy is extended to include the effects of the initial composition fluctuations in order to improve its agreement with experimental data in the small wave vector range. The excluded-volume interactions are explicitly introduced through the blob model. The charge effects on the phase behavior are examined, for any charge distribution of polyions and for any salt concentration. This completes a previous study which was concerned with the situation where only one species is charged. The early kinetics of microphase separation is discussed, and the charges contribution to the growth rate is also evaluated.


European Physical Journal E | 2010

Theory of microphase separation in crosslinked polymer blends immersed in a \( \theta\) -solvent

M. Benhamou; A. El Fazni; A. Bettachy; A. Derouiche

Abstract.The aim of this work is a theoretical study of the effects of the solvent quality on the microphase separation in crosslinked polymer blends, from a static and kinetics point of view. More precisely, we assume that the crosslinked mixture is trapped in a


Macromolecules | 1994

SCATTERING AND PHASE-BEHAVIOR OF CROSS-LINKED BLENDS

Mustapha Benmouna; Thomas A. Vilgis; Mohamed Daoud; M. Benhamou

\theta


Macromolecular Theory and Simulations | 1995

SCATTERED INTENSITY BY A CROSS-LINKED POLYMER BLEND

A. Bettachy; Abdelali Derouiche; M. Benhamou; Mustapha Benmouna; Thomas A. Vilgis; Mohamed Daoud

-solvent. The static microphase properties are studied through the static structure factor. The latter is computed using an extended blob model, where the crosslinked unlike chains can be viewed as sequences of blobs. We demonstrate that the presence of the


European Physical Journal E | 2004

Exact effective force between star-polymers in a \(\Theta\)-solvent

M. Benhamou; M. Himmi; F. Benzouine; A. Bettachy; A. Derouiche

\theta


Macromolecular Theory and Simulations | 1994

Stability analysis and scattering properties of charged crosslinked blends in solution

Mustapha Benmouna; Thomas A. Vilgis; M. Benhamou; M. Babaoui; Mohamed Daoud

-solvent simply leads to a multiplicative renormalization of these properties, and the renormalization factors are powers of the overall monomer volume fraction. Second, we investigate the early kinetics of the microphase separation, via the relaxation rate,


Journal De Physique Ii | 1994

Branched polymers in restricted geometry : Flory theory, scaling and blobs

Thomas A. Vilgis; P. Haronska; M. Benhamou

\tau_{q}^{}


European Physical Journal E | 2004

Force between unlike star-polymers versus the solvent quality.

F. Benzouine; M. Benhamou; M. Himmi

, which is a function of the wave number q (at fixed temperature and monomer volume fraction). We first show that the kinetics is entirely controlled by local motions of Rouse type, since the slow motions are frozen out by the presence of crosslinks. Using the blob model, we find an explicit form for the growth rate


European Physical Journal E | 2005

Kinetics of microphase separation in interpenetrated polymer networks in solution.

A. Derouiche; M. Benhamou; A. Bettachy

\Omega

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